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Paper Citation Record · LEDGER

The set of primes is supernatural: a Lean formalization of the statement of the conjecture

As of 15 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2608.08643.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.08643 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:37:20.797340Z

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

4 of 4 outbound references displayed

  • verified exact1
  • verified fuzzy1
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7c308fb3-a666-4767-b9e0-c585e44062dd · outbound

This paper cites de Moura and S.

The set of primes is supernatural: a Lean formalization of the statement of the conjecture de Moura and S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:37:20.893634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:37:20.780182Z digest=sha256:7bffd1f97ea908c331f9e078b6f7060711d6062c533e8c2ecc1b182cd646b5c0

Observation 54d20a52-cae2-4794-9fa9-9ecf617e1e12 · outbound

This paper cites an unresolved cited work.

The set of primes is supernatural: a Lean formalization of the statement of the conjecture Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:37:20.875545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:37:20.786302Z digest=sha256:fa3ce5e85c720440dc7a758ed0f6ddfdab9af34db33a0965cfcdcd2b146accd0

Observation 646aae31-a39f-4e17-bbdd-18f89e177e4c · outbound

This paper cites Mayeux,Conjecture: the set of prime numbers is supernatural, Proceed- ings of the Bulgarian Academy of Sciences78(2025), no.

The set of primes is supernatural: a Lean formalization of the statement of the conjecture Mayeux,Conjecture: the set of prime numbers is supernatural, Proceed- ings of the Bulgarian Academy of Sciences78(2025), no

Reference 3

Resolution
verified exact
doi, observed 2026-08-14T04:37:20.839994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:37:20.791355Z digest=sha256:85a82061cfa3bcc90fac19f4e53276c7450a8a7cdab9e9be4da668b723cbea6b

Observation 7056b03f-2b73-483a-ad34-1c86c87facc5 · outbound

This paper cites Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories.

The set of primes is supernatural: a Lean formalization of the statement of the conjecture Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T04:37:20.797340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:37:20.797340Z digest=sha256:5d6da4713a51ba7809d7ea6acefd3432b1d2244d2459ec022eca5b1265feaf08

Pith citing papers

No inbound Pith citation observations are available.